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Finding the Fourth Proportional to 1,364.71, 2,047.27 and 440.03

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Solution

The fourth proportional to 1,364.71, 2,047.27 and 440.03 is: 660.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.71 : 2,047.27 = 440.03 : x
  2. Step 2: Convert to fraction form
    1,364.71/2,047.27 = 440.03/x
  3. Step 3: Cross multiply
    1,364.71x = 2,047.27 × 440.03
  4. Step 4: Simplify right side
    1,364.71x = 900,860.22
  5. Step 5: Solve for x
    x = 900,860.22/1,364.71
  6. Step 6: Final answer
    x = 660.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.